Semiparametric transformation models for survival data with a cure fraction

Semiparametric transformation models for survival data with a cure fraction
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DOI:
10.1198/016214505000001122
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发表时间:
2006-06-01
影响因子:
3.7
通讯作者:
Ibrahim, Joseph G.
Ibrahim, Joseph G.
中科院分区:
数学1区
文献类型:
--
作者:
Zeng, Donglin;Yin, Guosheng;Ibrahim, Joseph G.

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我们提出了一类具有治愈分数的生存数据的转换模型。这类转换模型的动机是生物学的考虑,包括比例风险和比例几率治愈模型作为两种特殊情况。提出了一种计算最大似然估计的有效递归算法。此外,回归系数的极大似然估计是一致的,渐近正态的,其渐近方差达到半参数有效界。模拟研究进行检查所提出的估计的有限样本性质。该方法说明了从涉及黑色素瘤的治疗的临床试验的数据。
We propose a class of transformation models for survival data with a cure fraction. The class of transformation models is motivated by biological considerations and includes both the proportional hazards and the proportional odds cure models as two special cases. An efficient recursive algorithm is proposed to calculate the maximum likelihood estimators (MLEs). Furthermore, the MLEs for the regression coefficients are shown to be consistent and asymptotically normal, and their asymptotic variances attain the semiparametric efficiency bound. Simulation studies are conducted to examine the finite-sample properties of the proposed estimators. The method is illustrated on data from a clinical trial involving the treatment of melanoma.